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nordsb [41]
3 years ago
10

In order to make a teaspoon of honey, a honeybee must make 154 trips. If a honeybee made 924 trips, how many teaspoons of honey

could it make? Show the equation.
Mathematics
2 answers:
Delvig [45]3 years ago
8 0
If the honeybee made 924 trips, he would make 6 teaspoons of honey. This can be found by making a proportion: \frac{154}{1} x \frac{924}{x}. Then cross multiply and simplify.

Hope this helps ^-^
irinina [24]3 years ago
4 0
Six teaspoons. Hope I helped! 
xoxo
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What is the cube root of 8x3y6?<br> A) 8xy6 <br> B) 8xy2 <br> C) 2xy6 <br> D) 2xy2
Vsevolod [243]

Answer:

b

Step-by-step explanation:

8 0
3 years ago
2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):
zlopas [31]
<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)

First pair of opposite sides:

<u>Slope:</u>

\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}

Second pair of opposite sides:

<u>Slope:</u>

\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\

So the diagonals measure the same, therefore this is a rectangle.

5 0
3 years ago
The slope of a line is 7/10 . One point on the line has coordinates (1, 2). Which ordered pair represents another point on the l
mash [69]
(x,y)

y=mx+b
m=slope
b=yintercept
slope=7/10
one point is (1,2) or x=1, then y=2
find b
y=7/10x+b
2=7/10(1)+b
2=7/10+b
minus 7/10 both sides
1 and 3/10=b
13/10=b
y=7/10x+13/10
input values for x and get values for y
one point is (0,13/10)
7 0
3 years ago
Explain why the mean without the outliner could be a better description of the data set than the mean with the outliner.
lions [1.4K]
Sometimes the outlier, if it's too large, can throw off the mean, making it larger and smaller, so it isn't as accurate

sorry if this doesnt make sense if you need me to explain it more I will
5 0
3 years ago
Read 2 more answers
A trail around a river is 3 1/4 miles long. What is the length, in feet, of the trail?
bezimeni [28]

Answer: 17160 feet

Step-by-step explanation:

We know that 5280 feet = 1 mile

So all we have to do is multiply 3 1/4 by 5280

Let's split the 3 and 1/4 up to make the multiplication easier

3×5280=15840

\frac{1}{4}×5280=\frac{5280}{4} =1320

Now add them together

15840+1320=17160

4 0
2 years ago
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